18.5 m/s 45°

A meteoroid of mass = 585 kg has a speed of 83.0 m/s when 700 km above the Earth. It is falling vertically (ignore air resistance) and strikes a bed of sand in which it is brought to rest in 3.51 m. Constants you may find useful: G = 6.67 10-11 N·m2/kg2; MEarth = 5.98 x 1024 kg; REarth = 6.38 x 106 m. Answer with at least 5 decimal places. a.  How much work does the force of gravity do on the meteoroid on the way to the surface? _________ GJ b. What is the speed of the meteoroid just before striking the sand? _________ m/s c. How much work does the force of gravity do on the meteoroid after it hits the surface? _________ GJ

A cannon of mass 6.79 x 103 kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 85.6-kg shell horizontally with an initial velocity of 508 m/s. Suppose the cannon is then unbolted from the earth, and no external force hinders its recoil. What would be the velocity of a shell fired from this loose cannon? (Hint: In both cases assume that the burning gunpowder imparts the same kinetic energy to the system.)

Two vehicles (a car and a truck) are involved in a collision and stick together. Just before the crash, the car, with a mass of 1500.0 kg, is travelling North with a velocity of 50.0 mph while the truck, with a mass of 2400.0 kg, is travelling West with a velocity of 72.0 mph (as shown below) = 270°) (East = 0°, North = 90°, West = 180°, South = N

A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 75.8 x 105 kg, of which 15.3 × 105 kg is fuel. The rocket engine is then fired for 410 s, during which fuel is consumed at the rate of 390 kg/s. The speed of the exhaust products relative to the rocket is 2.81 km/s. (a) What is the rocket's thrust? After the 410 s firing, what are (b) the mass and (c) the speed of the rocket? (a) Number i Units (b) Number i Units (c) Number i Units

A baseball of mass m1 = 0.27 kg is thrown at another ball hanging from the ceiling by a length of string L = 1.05 m. The second ball m2 = 0.77 kg is initially at rest while the baseball has an initial horizontal velocity of V1 = 3.5 m/s. After the collision the first baseball falls straight down (no horizontal velocity). (a) Select an expression for the magnitude of the closest distance from the ceiling the second ball will reach d. (b) What is the angle that the string makes with the vertical at the highest point of travel in degrees?

For a ballistic pendulum, if the length L = 1.64 meter, angle of deflection from vertical θ = 20.8 degree, the mass of the bullet m = 12.1 gram, and the mass of the catcher M = 646 gram, the velocity (m/s) of the bullet is

kg, 4. (a) The masses of the Earth and the Moon are 5.98 × 1024 kg and 7.35 x 1022 respectively, and their centers are separated by 3.84 × 108 m. Where is the center of mass of this system located? (b) Consider two objects with masses mA = 35 kg and mp = 25 kg. They have velocities (in m/s) đA = 12î – 16j and õB of the center of mass of the system. -20î + 14j. Determine the velocity

A basketball (m=0.625 kg) and a baseball (m=145g) are dropped from a height of 2.5 m.  For simplicity, assume the basketball and the baseball fall the full height and collide at ground level and that the coefficient of restitution between the floor and the basketball is 0.85.  (The coefficient of restitution represents the ratio between the velocity just before collision and the velocity just after collision, the up bounce.)  Determine the velocity of the baseball after its collision with the basketball.  Assume a perfectly elastic collision between the baseball and the basketball an upward=positive sign convention and g = 10 N/kg.

Problem 3: A particle with mass ma = 3.00 kg is located at ra = (2.50 i + 3.50 j) m, and a second particle of mass m2B = 5.00 kg is located at rB = (1.50 i - 3.00 j) m. Find the location of the center of mass of the system relative to the point (1,1).